Triangular factor
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In linear algebra, triangular factors are triangular matrices resulting from LU decomposition or QR decomposition.
In the QR decomposition, the resulting R matrix is a triangular factor. In the LU decomposition, the resulting L and U matrices are both triangular factors.
There are many cases when it is important to have information on the extremal singular values of a square matrix A. Sometimes, it is too expensive to calculate the singular values exactly and an approximation of these quantities suffices. "" They can be calculated from the Triangular Factor.
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[edit] Reference
R. H. Bartels and G. H. Golub, The simplex method of linear programming using the LU decomposition, Communications of the ACM, 12 (1969)
